A variational approach for the 2-dimensional semi-geostrophic shallow water equations

Existence of weak solutions to the 3-D semi-geostrophic equations with rigid boundaries was proved by Benamou and Brenier [3], using Monge transport theory. This paper extends the results to a free surface boundary condition, which is more physically appropriate. This extension is at present for the...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Archive for rational mechanics and analysis 2001-02, Vol.156 (3), p.241-273
Hauptverfasser:	CULLEN, Mike, GANGBO, Wilfrid
Format:	Artikel
Sprache:	eng
Schlagworte:	Computational methods in fluid dynamics Dynamics of the ocean (upper and deep oceans) Earth, ocean, space Exact sciences and technology External geophysics Fluid dynamics Fundamental areas of phenomenology (including applications) Mathematical methods in physics Numerical approximation and analysis Ordinary and partial differential equations, boundary value problems Physics Physics of the oceans Studies
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	Existence of weak solutions to the 3-D semi-geostrophic equations with rigid boundaries was proved by Benamou and Brenier [3], using Monge transport theory. This paper extends the results to a free surface boundary condition, which is more physically appropriate. This extension is at present for the 2-D shallow water case only. In addition, we establish stronger time regularity than was possible in [3].[PUBLICATION ABSTRACT]
ISSN:	0003-9527 1432-0673
DOI:	10.1007/s002050000124